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Theorems · Theorem · group theory

finEquivPowers_apply

∀ {G : Type u_1} [inst : Monoid G] {x : G} (hx : IsOfFinOrder x) {n : Fin (orderOf x)},
  (finEquivPowers hx) n = ⟨x ^ ↑n, ⋯⟩
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Monoid
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Around this declaration

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finEquivPowers_symm_apply · cited by 2finEquivPowers_symm_applyDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivMonoid · cited by 3887MonoidSubmonoid · cited by 3086SubmonoidSubmonoid.powers · cited by 408Submonoid.powersorderOf · cited by 324orderOfIsOfFinOrder · cited by 113IsOfFinOrderfinEquivPowers · cited by 9finEquivPowersfinEquivPowers_applyCITED BYCITES

Cites8

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Cited by1

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